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20209392 = 2433741163
BaseRepresentation
bin100110100010…
…1111011110000
31102000202002000
41031011323300
520133200032
62001054000
7333530340
oct115057360
942022060
1020209392
1110453685
126927300
134257828
142980d20
151b92e7c
hex1345ef0

20209392 has 160 divisors (see below), whose sum is σ = 68328960. Its totient is φ = 5598720.

The previous prime is 20209381. The next prime is 20209429. The reversal of 20209392 is 29390202.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123903 + ... + 124065.

It is an arithmetic number, because the mean of its divisors is an integer number (427056).

Almost surely, 220209392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20209392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34164480).

20209392 is an abundant number, since it is smaller than the sum of its proper divisors (48119568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20209392 is a wasteful number, since it uses less digits than its factorization.

20209392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20209392 is about 4495.4857357131. The cubic root of 20209392 is about 272.3857703759.

Adding to 20209392 its reverse (29390202), we get a palindrome (49599594).

The spelling of 20209392 in words is "twenty million, two hundred nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 163 164 168 189 216 246 252 287 326 328 336 369 378 432 489 492 504 574 652 656 738 756 861 978 984 1008 1107 1141 1148 1304 1467 1476 1512 1722 1956 1968 2214 2282 2296 2583 2608 2934 2952 3024 3423 3444 3912 4401 4428 4564 4592 5166 5868 5904 6683 6846 6888 7749 7824 8802 8856 9128 10269 10332 11736 13366 13692 13776 15498 17604 17712 18256 20049 20538 20664 23472 26732 27384 30807 30996 35208 40098 41076 41328 46781 53464 54768 60147 61614 61992 70416 80196 82152 93562 106928 120294 123228 123984 140343 160392 164304 180441 187124 240588 246456 280686 320784 360882 374248 421029 481176 492912 561372 721764 748496 842058 962352 1122744 1263087 1443528 1684116 2245488 2526174 2887056 3368232 5052348 6736464 10104696 20209392